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Finding the Fourth Proportional to 152,366, 210,265.08 and 85,299.44

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Solution

The fourth proportional to 152,366, 210,265.08 and 85,299.44 is: 117,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,366 : 210,265.08 = 85,299.44 : x
  2. Step 2: Convert to fraction form
    152,366/210,265.08 = 85,299.44/x
  3. Step 3: Cross multiply
    152,366x = 210,265.08 × 85,299.44
  4. Step 4: Simplify right side
    152,366x = 17,935,493,575.56
  5. Step 5: Solve for x
    x = 17,935,493,575.56/152,366
  6. Step 6: Final answer
    x = 117,713.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.